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Finding the Fourth Proportional to 1,758.66, 2,411.54 and 1,696.83

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Solution

The fourth proportional to 1,758.66, 2,411.54 and 1,696.83 is: 2,326.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,758.66 : 2,411.54 = 1,696.83 : x
  2. Step 2: Convert to fraction form
    1,758.66/2,411.54 = 1,696.83/x
  3. Step 3: Cross multiply
    1,758.66x = 2,411.54 × 1,696.83
  4. Step 4: Simplify right side
    1,758.66x = 4,091,964.93
  5. Step 5: Solve for x
    x = 4,091,964.93/1,758.66
  6. Step 6: Final answer
    x = 2,326.75

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.